Evaluate (1/5)^3

Problem

(1/5)^3

Solution

1. Apply the power of a quotient rule, which states that (a/b)^n=(a^n)/(b^n)

(1/5)^3=1^3/5^3

2. Evaluate the numerator by calculating 1 raised to the power of 3

1^3=1

3. Evaluate the denominator by calculating 5 raised to the power of 3

5^3=5⋅5⋅5

5^3=125

4. Combine the results to form the final fraction.

1/125

Final Answer

(1/5)^3=1/125

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